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Łączona metoda analizy niezawodności systemu wielostanowego skła dającego się z elementów podlegających drobnej naprawie
Języki publikacji
Abstrakty
This paper discusses the multi-state system (MSS) consisted of multi-state components with minor failure and minor repair. In order to obtain the reliability indices of MSS, a new combined method is suggested. This method is based on the Markov stochastic process and the universal generating function (UGF) technology. The traditional idea of modeling the MSS is to use straightforward Markov process. That is not effective enough for the MSS because the model of the system is complicated usually and the state space often arouses “dimension curse” - huge numbers of the states. We suggest it should model the multi-state components and the UGF of multi-state components can be obtained firstly. Then the MSS can be decomposed into several subsystems which only contain simple series-parallel structure. According to the physical nature of the subsystems, the UGF of those subsystems can be employed recursively. Furthermore the UGF of the entire MSS will be obtained. Therefore, the reliability indices of the MSS can be evaluated easily. The suggested method simplifies greatly the complexity of calculation and is well formulized. Two numerical examples illustrate this method.
W artykule omówiono system wielostanowy (multi-state system, MSS) składający się z elementów wielostanowych, które mogą ulegać drobnym uszkodzeniom i podlegają drobnym naprawom. Zaproponowano nową metodę łączoną, która pozwala wyznaczać wskaźniki niezawodności MSS. Metoda ta opiera się na procesie stochastycznym Markowa oraz technologii uniwersalnej funkcji tworzącej (universal generating function, UGF). Tradycyjnie do modelowania MSS wykorzystuje się sam proces Markowa. Metoda ta nie jest jednak wystarczająco skuteczna w przypadku MSS, ponieważ modele tego typu systemów są zazwyczaj skomplikowane, a przestrzeń stanów często prowadzi do tzw. "przekleństwa wielowymiarowości" – konieczności uwzględnienia ogromnej liczby stanów. Nasza metoda polega na modelowaniu elementów wielostanowych, dla których, w pierwszej kolejności wyznacza się UGF. Następnie MSS można rozłożyć na kilka podsystemów, które mają prostą strukturę szeregowo-równoległą. Charakter fizyczny tych podsystemów, pozwala na rekurencyjne stosowanie UGF dla tych podsystemów. Ponadto metoda umożliwia wyznaczenie UGF dla całego MSS, co pozwala na łatwą ocenę wskaźników niezawodności MSS. Proponowana metoda znacznie upraszcza obliczenia i jest dobrze sformalizowana. W pracy przedstawiono dwa przykłady numeryczne, które ilustrują omawianą metodę.
Czasopismo
Rocznik
Tom
Strony
80--88
Opis fizyczny
Bibliogr. 45 poz., rys., tab.
Twórcy
autor
- Information and Network Management Center North China Electric Power University Baoding, 071003, China
autor
- State Key Laboratory of Alternate Electric Power System with Renewable Energy Sources North China Electric Power University Beijing, 102206, China
autor
- Department of Computer Science and Technology North China Electric Power University Baoding, 071003, China
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikator YADDA
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